3672146661120 has 216 divisors, whose sum is σ = 14520280241376. Its totient is φ = 839347789824.

The previous prime is 3672146661083. The next prime is 3672146661133. The reversal of 3672146661120 is 211666412763.

It is a super-2 number, since 2×3672146661120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22688127 + ... + 22849406.

It is an arithmetic number, because the mean of its divisors is an integer number (67223519636).

Almost surely, 2^{3672146661120} is an apocalyptic number.

3672146661120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3672146661120 is an abundant number, since it is smaller than the sum of its proper divisors (10848133580256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3672146661120 is a wasteful number, since it uses less digits than its factorization.

3672146661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45537567 (or 45537550 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3672146661120 in words is "three trillion, six hundred seventy-two billion, one hundred forty-six million, six hundred sixty-one thousand, one hundred twenty".